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Finding the Third Proportional to 265,972 and 582,816

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Solution

The third proportional to 265,972 and 582,816 is: 1,277,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,972 : 582,816 = 582,816 : x
  2. Step 2: Convert to fraction form
    265,972/582,816 = 582,816/x
  3. Step 3: Cross multiply
    265,972x = 582,816 × 582,816
  4. Step 4: Simplify right side
    265,972x = 339,674,489,856
  5. Step 5: Solve for x
    x = 339,674,489,856/265,972
  6. Step 6: Final answer
    x = 1,277,106.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.